What makes a good axiom?

Update: 2020-10-04

Description

How should axioms be justified? By appeal to intuition, or sensory perception? Or are axioms legitimated merely indirectly, by their logical consequences? Plato and Aristotle disagreed, and later Newton disagreed even more. Their philosophies can be seen as rival interpretations of Euclid’s Elements. Transcript What kinds of axioms do we want in our geometry? How … Continue reading What makes a good axiom?

Comments

Top Podcasts

The Best New Comedy Podcast Right Now – June 2024 The Best News Podcast Right Now – June 2024 The Best New Business Podcast Right Now – June 2024 The Best New Sports Podcast Right Now – June 2024 The Best New True Crime Podcast Right Now – June 2024 The Best New Joe Rogan Experience Podcast Right Now – June 20 The Best New Dan Bongino Show Podcast Right Now – June 20 The Best New Mark Levin Podcast – June 2024

In Channel

Did Copernicus steal ideas from Islamic astronomers?

2023-11-2901:27:04

Operational Einstein: constructivist principles of special relativity

2023-07-2301:16:38

Review of Netz’s New History of Greek Mathematics

2022-10-1152:04

The “universal grammar” of space: what geometry is innate?

2022-05-2032:22

“Repugnant to the nature of a straight line”: Non-Euclidean geometry

2022-02-2030:40

Rationalism 2.0: Kant’s philosophy of geometry

2021-11-1730:00

Rationalism versus empiricism

2021-09-1843:50

Cultural reception of geometry in early modern Europe

2021-07-1033:47

Maker’s knowledge: early modern philosophical interpretations of geometry

2021-05-1049:29

“Let it have been drawn”: the role of diagrams in geometry

2021-03-1051:12

Why construct?

2021-01-2001:18:01